T-(2t+5)-5(1-2t)=2

Solution for T-(2t+5)-5(1-2t)=2 equation:

Simplifying
T + -1(2t + 5) + -5(1 + -2t) = 2

Reorder the terms:
T + -1(5 + 2t) + -5(1 + -2t) = 2
T + (5 * -1 + 2t * -1) + -5(1 + -2t) = 2
T + (-5 + -2t) + -5(1 + -2t) = 2
T + -5 + -2t + (1 * -5 + -2t * -5) = 2
T + -5 + -2t + (-5 + 10t) = 2

Reorder the terms:
-5 + -5 + T + -2t + 10t = 2

Combine like terms: -5 + -5 = -10
-10 + T + -2t + 10t = 2

Combine like terms: -2t + 10t = 8t
-10 + T + 8t = 2

Solving
-10 + T + 8t = 2

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + T + 10 + 8t = 2 + 10

Reorder the terms:
-10 + 10 + T + 8t = 2 + 10

Combine like terms: -10 + 10 = 0
0 + T + 8t = 2 + 10
T + 8t = 2 + 10

Combine like terms: 2 + 10 = 12
T + 8t = 12

Add '-8t' to each side of the equation.
T + 8t + -8t = 12 + -8t

Combine like terms: 8t + -8t = 0
T + 0 = 12 + -8t
T = 12 + -8t

Simplifying
T = 12 + -8t